1. What is
the sum of A, B and C?
(1)A, B and
C are odd numbers.
(2)The
average of A, B and C is 5.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement (2) alone is sufficient to answer the question,
but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
2. Is A
greater than 0?
1)A3 is less
than 0.
2)10A = -10
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither statement
alone is sufficient.
• Either statement by itself is sufficient to answer the
question.
• Even both
the statements together are not sufficient to answer the question.
3. How many
people in a city go to the office by car?
1)The total
population of the city is 125000.
2)The total
number of people going to the office by bus and train is1/3rd of the total
population.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both statements together are sufficient to answer the
question, but neither statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
4. Is a >
b?
1)a/3 >
b/3
2)-a + c
< -b + c
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either statement by itself is sufficient to answer the
question.
• Even both
the statements together are not sufficient to answer the question.
5. Is the
product of A and B smaller than 100?
1)The sum of
A and B is smaller than 100.
2)Both the
numbers are smaller than 10.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement (2) alone is sufficient to answer the question,
but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either statement
by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
6. What is
the area of the square ABCD?
1)AB=10
yards
2)Diagonal
BD = √128
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both the statements together are not sufficient to
answer the question.
7. Which
employee got a bigger salary raise in absolute terms?
1)Jack got a
10% raise.
2)Mark got a
25% raise.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both statements
together are sufficient to answer the question, but neither statement alone is
sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both the statements together are not sufficient to
answer the question.
8. If the average
of the marks obtained by three students of a class is 75, are the minimum marks
obtained less than 50?
1)The
highest marks obtained are 90.
2)One
student has scored more than 75 marks.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both the statements together are not sufficient to
answer the question.
9. If x and
y are both positive integers, how much greater is x than y?
Statement
(1): x + y = 20
Statement
(2): x = y2
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both statements together are sufficient to answer the
question, but neither statement alone is sufficient.
• Either
statement is sufficient by itself to answer the question.
• Even both
the statements together are not sufficient to answer the question.
10. Which
company reported to be the largest exporter of cotton in the year 2002?
1)Company A
reported that its cotton consumption in the year 2002 increased by 10%.
2)Company B
reported that its cotton consumption in the year 2002 increased by 20%.
Answers:
• Statement (1)
alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither statement
alone is sufficient.
• Either statement by itself is sufficient to answer the
question.
• Even both
the statements together are not sufficient to answer the question.
11. What is
the value of 3×2 + 2x – 1?
1) x2 + 2x =
0
2) x = -2
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement (2) alone is sufficient to answer the question,
but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
12. How many
cows in a herd of 50 cattle are black?
1)There are
12 oxen in the herd.
2)Forty two
percent of the animals are black.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both statements together are sufficient to answer the
question, but neither statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
13. What is
the value of even integers?
(1)3 < a
< 21
(2)3√a is
also an even integer.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both the statements together are not sufficient to answer
the question.
14. If p and
q do not equal 0, is p/q an integer?
1)p is
prime.
2)q is even.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both the statements together are not sufficient to
answer the question.
15. In the
figure above, what is the value of AC?
1)Angle CBA
= 900
2)CB + BA =
14
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both statements together are sufficient to answer the
question, but neither statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
16. What is
the value of x?
1)x2=4
2)x<0
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both statements together are sufficient to answer the
question, but neither statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
17. What is
the duration of the solar eclipse?
1)A solar
eclipse begins at 10:00 a.m. on Monday and ends at 10:00 a.m. on Sunday.
2)The solar
eclipse is 6 days long.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement (2) alone is sufficient to answer the question,
but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
18. What was
the percentage decrease of a company’s production between 1st December and 31st
December 2008?
1)The
production reduced by $2000 in value during December 2008.
2)The
production reduced by 15% from 2nd December 2008 to 20th December 2008.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both the statements together are not sufficient to
answer the question.
19. What is
the value of P?
1)P2 – 1 = 0
2)P = (10)0
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement (2) alone is sufficient to answer the question,
but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
20. What is
the fifth term in the sequence S?
1)The
seventh term of S is 5.
2)The sixth
term of S is four times the fifth, and the seventh term is eight times the
sixth.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement (2) alone is sufficient to answer the question,
but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
21. Three
persons have a combined weight of 500 pounds. What is the weight of the
heaviest person?
1)One person
weighs 150 pounds.
2)One person
weighs 250 pounds.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement (2) alone is sufficient to answer the question, but
statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
22. What
percentage of the items inspected in a unit are defective?
(1)The total
production of items in the unit is 300.
(2)The ratio
of the defective items to the non defective items is 12:35.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement (2) alone is sufficient to answer the question,
but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
23. How many
marbles are kept in a container?
1)If 5
marbles are taken out from the container, the number of marbles remaining in
the container will be less than 15.
2)If 8 more
marbles are put into the container, the total number of marbles in the
container will rise to more than 20.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither statement
alone is sufficient.
• Either statement by itself is sufficient to answer the
question.
• Even both
the statements together are not sufficient to answer the question.
24. What is
the value of P?
1) P + 20 =
100
2) P3 = 45
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either statement by itself is sufficient to answer the
question.
• Even both
the statements together are not sufficient to answer the question.
25. In the
triangle ABD, BD is a straight line. What is the measure of angle CAB?
1)x = 800
2)y = 400
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either statement by itself is sufficient to answer the
question.
• Even both
the statements together are not sufficient to answer the question.
26. What is
the area of the circle?
1)The radius
of the circle is 5.
2)The
circumference of the circle is 5π.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either statement by itself is sufficient to answer the
question.
• Even both
the statements together are not sufficient to answer the question.
27. Students
in a school speak only English or only French or both the languages. How many
students speak only English?
1)1/5th of
the students in the school speak both English and French.
2)200
students in the school speak only French.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both the statements together are not sufficient to
answer the question.
28. Is w an
integer?
1)3w is an
odd number.
2)2w is an
even number.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement (2) alone is sufficient to answer the question,
but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
29. Suppose
7A + 8B = 11. What is the value of B?
1)A is
prime.
2)B = -5A
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both statements together are sufficient to answer the
question, but neither statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
30. Is P
> 0?
Statement
(1): P2 > 0
Statement
(2): P3 > 0
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement (2) alone is sufficient to answer the question,
but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
31. If P is
a positive number, what is 30% of P?
(1)50% of
(50 / P) is less than 10.
(2)10% of
(50 x P) is 225.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement (2) alone is sufficient to answer the question,
but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
32. Is xy
> 0 ?
1)x/y < 0
2)x + y <
0
Answers:
• Statement (1) alone is sufficient to answer the question,
but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
33. If P is
a cube of an integer and is between 5 and 100, what is the value of P?
1)P is odd.
2)P is the
square of an integer.
Answers:
• Statement (1) alone is sufficient to answer the question,
but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
34. Which
one of the following operations does the operator # represent: addition,
subtraction, multiplication or division?
(1)For all
S, 10 # S = S # 10
(2)For all
S, 10S # 3S = 30S2
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either statement by itself is sufficient to answer the
question.
• Even both
the statements together are not sufficient to answer the question.
35. How is
Mary related to Jack?
1)Peter, the
husband of Mary’s only sister Rosy is a doctor.
2)Jack is
Peter’s sister-in-law’s husband.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both statements together are sufficient to answer the
question, but neither statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
36. In the
figure above, is PQ parallel to RS?
1)Angle PRS
and angle QSR are equal.
2)PR = QS
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either statement by itself is sufficient to answer the
question.
• Even both
the statements together are not sufficient to answer the question.
37. In a
fair, a lady bought a purse and a pair of sandals. Which item did she buy at a
lower price?
1)The lady
bought the purse at a 15% discount.
2)She bought
the sandals at a 25% discount.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both the statements together are not sufficient to
answer the question.
38. Does
Peter have more coins in his pocket than Sam?
1)Mary has
more coins in her pocket than Sam.
2)Peter has
less coins in his pocket than Mary.
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement (2) alone is sufficient to answer the question,
but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both
the statements together are not sufficient to answer the question.
39. What is
the value of A, if A and B are two distinct integers and their difference is
50?
1)A is an
even integer.
2)A < B
Answers:
• Statement
(1) alone is sufficient to answer the question, but statement (2) alone is not.
• Statement
(2) alone is sufficient to answer the question, but statement (1) alone is not.
• Both
statements together are sufficient to answer the question, but neither
statement alone is sufficient.
• Either
statement by itself is sufficient to answer the question.
• Even both the statements together are not sufficient to
answer the question.
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